Considering that the last 1 in 0.11 is located in the hundredths place, the simplest from of this fraction is 11/100 because it cannot be reduced.
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Here is the solution for finding mean mode and median
Answer:
<u>y = -x² + 4</u>
Step-by-step explanation:
The equation of the parabola in the vertex form is:
y = a (x-h)² + k
Where: (h,k) the coordinates of the vertex & a is a multiplier
The parabola has a vertex at ( 0,4 )
So, h = 0 , k = 4
∴ y = a (x-0)² + 4
∴ y = a x² + 4
The parabola passes through points ( 2,0 )
∴ 0 = a 2² + 4
∴ 4 a = -4 ⇒ a = -4/4 = -1
∴ y = -x² + 4
So, the equation of a parabola that has a vertex at ( 0,4 ) and passes through points ( 2,0 ) is <u>y = -x² + 4</u>
See the attached figure.
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Answer: Each screensaver costs $2 and each Otterbox costs $7.
Step-by-step explanation:
Let x = Cost of each screensaver and y = cost of each Otterbox.
As per given, 4x+3y=29 (i)
6x +2y = 26 (ii)
Divide both sides of (i) by 2 and the multiply it by 3 on sides , we get
9x+3y=39 (iii)
Eliminate (i) from (iii) , we get
5x = 10
⇒ x = 2 [Divide both sides by 5]
Put value of x in (i), we get
4(2)+3y=29
⇒ 8+3y= 29
⇒ 3y= 21
⇒ y =7 [Divide both sides by 7]
Hence, Each screensaver costs $2 and each Otterbox costs $7.